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Finding the Fourth Proportional to 742,171, 1,024,197.96 and 402,639.25

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Solution

The fourth proportional to 742,171, 1,024,197.96 and 402,639.25 is: 555,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,171 : 1,024,197.96 = 402,639.25 : x
  2. Step 2: Convert to fraction form
    742,171/1,024,197.96 = 402,639.25/x
  3. Step 3: Cross multiply
    742,171x = 1,024,197.96 × 402,639.25
  4. Step 4: Simplify right side
    742,171x = 412,382,298,465.93
  5. Step 5: Solve for x
    x = 412,382,298,465.93/742,171
  6. Step 6: Final answer
    x = 555,643.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.